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29 August, 06:02

A 30.0 L sample of nitrogen inside a rigid, metal container at 20.0 °C is placed inside an oven whose temperature is 50.0 °C. The pressure inside the container at 20.0 °C was at 3.00 atm. What is the pressure of the nitrogen after its temperature is increased to 50.0 °C?

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  1. 29 August, 07:56
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    3.31 atm.

    Explanation:

    Gay-Lussac's law states that for a given mass and constant volume of an ideal gas, the pressure exerted on the sides of its container is directly proportional to its absolute temperature.

    ∵ P α T.

    ∴ P₁T₂ = P₂T₁.

    P₁ = 3.00 atm, T₁ = 20.0 °C + 273.15 = 293.15 K.

    P₂ = ? atm, T₂ = 50.0 °C + 273.15 = 323.15 K.

    ∴ P₂ = (P₁T₂) / T₁ = (3.00 atm) (323.15 K) / (293.15 K) = 3.307 atm ≅ 3.31 atm.
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